Multilinear oscillatory integrals and estimates for coupled systems of dispersive PDEs
DOI10.1090/TRAN/8991zbMath1526.35353arXiv2302.00048OpenAlexW4379618796MaRDI QIDQ6051556
David J. Rule, Salvador Rodríguez-López, Aksel Bergfeldt, Wolfgang Staubach
Publication date: 20 October 2023
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2302.00048
Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25) Nonlinear higher-order PDEs (35G20) Fourier integral operators applied to PDEs (35S30) Systems of nonlinear higher-order PDEs (35G50)
Cites Work
- Unnamed Item
- Unnamed Item
- Bilinear dispersive estimates via space-time resonances. I: The one-dimensional case
- A Seeger-Sogge-Stein theorem for bilinear Fourier integral operators
- Bilinear dispersive estimates via space time resonances, dimensions two and three
- Theory of function spaces
- \(L^p\) estimates for the waves equation
- Commutateurs d'intégrales singulières et opérateurs multilinéaires
- A local version of real Hardy spaces
- Bilinear oscillatory integrals and boundedness for new bilinear multipliers
- Multilinear pseudo-differential operators on product of local Hardy spaces with variable exponents
- On the boundedness of certain bilinear oscillatory integral operators
- Global boundedness of a class of multilinear Fourier integral operators
- Equivalence of (quasi-)norms on a vector-valued function space and its applications to multilinear operators
- Some Maximal Inequalities
- On the regularity of multilinear Schrödinger integral operators
This page was built for publication: Multilinear oscillatory integrals and estimates for coupled systems of dispersive PDEs
